Mathematics, General Program

Mathematics is the art of revealing truth through logical reasoning, and the science of applying such reasoning to further understanding the universe. In addition to being the backbone of scientific inquiry, the study of mathematics is an excellent way to prepare for a broad range of careers in such fields as business, government, industry, law, medicine, politics and teaching. You will find mathematics majors are employed as animators, benefits administrators, climate analysis, college professors, cryptologists, epidemiologists, forensic analysts, market researchers, pollsters, programmers, scientists, statisticians, among many, many others. Mathematics majors in the program, who may choose to focus either on abstract mathematics or on mathematical sciences, study mathematics in depth as preparation for graduate or for a career in mathematics or a related field.

Below you can see a list of program requirements for the various degree available in this program. For other questions, please contact Dr. Cam McLeman (mclemanc@umflint.edu).

This program is designed for the student who wants to study mathematics in some depth as preparation for graduate school or a career in mathematics or a related field.

It is recommended that the general education requirements be completed in the first two years.

Requirements

Completion of at least 124 credits, including:

A. Foundational Mathematics (18 credits)

MTH 121 - Calculus I (4)

MTH 122 - Calculus II (4).

MTH 200 - Mathematical Proofs and Structures (3).

MTH 220 - Elementary Linear Algebra (3).

MTH 222 - Multivariate Calculus (4).

B. Physics

PHY 243 - Principles of Physics I (5)

PHY 245 - Principles of Physics II (5)

C. Option of Choice

One of the following options:

Option A, Abstract Mathematics

This option is recommended for the student who plans to go on to graduate school in mathematics or a related field. The emphasis of the option is on abstract, rigorous mathematics and on the development of the student’s analytical and creative talents.

Advanced Mathematics (19 credits)

MTH 328 - Abstract Algebra (3).

MTH 329 - Advanced Linear Algebra (3).

MTH 402 - Mathematics Capstone Course (3)

MTH 423 - Elementary Topology of the Linear Continuum (3).

MTH 456 - Real Analysis (4).

MTH 470 - Theory of Functions of a Complex Variable (3).

Mathematics Electives (12 credits)

Four from:

MTH 305 - Differential Equations (3).

MTH 327 - Coding Theory (3).

MTH 331 - Conics and Cubics (3).

MTH 333 - College Geometry (3).

MTH 354 - Number Theory (3).

MTH 357 - Advanced Calculus (3).

MTH 362 - Combinatorics with Applications (3).

MTH 372 - Probability (3).

MTH 374 - Introduction to Numerical Analysis (3).

MTH 375 - Mathematical Statistics (3).

MTH 377 - Methods of Operations Research (3).

MTH 378 - Theory of Interest (3).

MTH 385 - History of Mathematics (3).

MTH 392 - Selected Topics (1-3).

MTH 422 - Foundations of Mathematics (3).

Computer Science

CSC 175 - Problem Solving and Programming I (4)

Foreign Language (0-8 credits)

Students who wish to meet this requirement with courses taken in high school or at other colleges and universities, or those who have attained fluency in a foreign language without formal course work, must demonstrate such equivalent proficiency by examination.

ARB 112 - Beginning Standard Arabic II (4)

CHN 112 - Beginning Mandarin Chinese II (4)

FRN 112 - Beginning French II (4)

GER 112 - Beginning German II (4)

SPN 112 - Beginning Spanish II (4)

Option B, Mathematical Sciences

This option is recommended for the student who plans to apply mathematics in a nonacademic career. The program has a dual emphasis, focusing on abstract mathematics and its applications.

Advanced Mathematics (24 credits)

MTH 305 - Differential Equations (3).

MTH 357 - Advanced Calculus (3).

MTH 372 - Probability (3).

MTH 374 - Introduction to Numerical Analysis (3).

MTH 375 - Mathematical Statistics (3).

MTH 377 - Methods of Operations Research (3).

MTH 402 - Mathematics Capstone Course (3)

MTH 470 - Theory of Functions of a Complex Variable (3).

Mathematics Electives (6-7 credits)

Two from:

MTH 327 - Coding Theory (3).

MTH 328 - Abstract Algebra (3).

MTH 329 - Advanced Linear Algebra (3).

MTH 331 - Conics and Cubics (3).

MTH 333 - College Geometry (3).

MTH 354 - Number Theory (3).

MTH 362 - Combinatorics with Applications (3).

MTH 378 - Theory of Interest (3).

MTH 385 - History of Mathematics (3).

MTH 392 - Selected Topics (1-3).

MTH 422 - Foundations of Mathematics (3).

MTH 423 - Elementary Topology of the Linear Continuum (3).

MTH 456 - Real Analysis (4).

Computer Science

CSC 175 - Problem Solving and Programming I (4)

CSC 275 - Problem Solving and Programming II (4).

D. Additional Requirements

All requirements of the College of Arts and Sciences (CAS) Bachelor of Science degree, including General Education requirements, and all University of Michigan-Flint graduation requirements.

This program is designed for the student who wants to study mathematics as part of a broad liberal arts education.

Requirements

Completion of at least 120 credits, including:

A. Foundational Mathematics (18 credits)

MTH 121 - Calculus I (4)

MTH 122 - Calculus II (4).

MTH 200 - Mathematical Proofs and Structures (3).

MTH 220 - Elementary Linear Algebra (3).

MTH 222 - Multivariate Calculus (4).

B. Advanced Mathematics (15-16 credits)

MTH 328 - Abstract Algebra (3).

One from:

MTH 331 - Conics and Cubics (3).

MTH 333 - College Geometry (3).

MTH 402 - Mathematics Capstone Course (3)

MTH 423 - Elementary Topology of the Linear Continuum (3).

One from:

MTH 456 - Real Analysis (4).

MTH 470 - Theory of Functions of a Complex Variable (3).

C. Mathematics Electives (6-7 credits)

Two additional courses from:

MTH 305 - Differential Equations (3).

MTH 327 - Coding Theory (3).

MTH 329 - Advanced Linear Algebra (3).

MTH 331 - Conics and Cubics (3).

MTH 333 - College Geometry (3).

MTH 354 - Number Theory (3).

MTH 357 - Advanced Calculus (3).

MTH 362 - Combinatorics with Applications (3).

MTH 372 - Probability (3).

MTH 374 - Introduction to Numerical Analysis (3).

MTH 375 - Mathematical Statistics (3).

MTH 377 - Methods of Operations Research (3).

MTH 378 - Theory of Interest (3).

MTH 385 - History of Mathematics (3).

MTH 392 - Selected Topics (1-3).

MTH 422 - Foundations of Mathematics (3).

MTH 456 - Real Analysis (4).

MTH 470 - Theory of Functions of a Complex Variable (3).

D. Computer Science

CSC 175 - Problem Solving and Programming I (4)

E. Physics (5 credits)

PHY 243 - Principles of Physics I (5)

F. Additional Requirements

All requirements of the College of Arts and Sciences (CAS) Bachelor of Arts degree, including General Education requirements, additional BA distribution requirements, and at least 80 credits outside mathematics.

Student Testimonials

Ben Savoie

Class of 2018

In every math class I attended at UM-Flint, I was consistently
surprised by the professors’ enthusiasm for the subject
and dedication to their students. What stood out
even more to me, though, is how close the math student
body is. We help each other when struggling and push
each other to achieve more than we could alone.

Dennis Foren

Class of 2012

One thing I didn't anticipate to gain from the UM-Flint mathematics program is an easier life. Whether it be achieving in my workplace, writing another manuscript, or conversing with friends, I now have a mental fluidity that improves my experiences across the board. The mathematics program also opened the doors to an excellent group of persons--professors as well as fellow students--who are not only magnificent minds, but also wonderful friends.